Time Speed and Distance MCQs with Answers and Solutions

Question #161

A man can walk a distance in 4 hours and ride back in 3 hours. If he walks both ways, he takes 8 hours. How much time will he take if he rides both ways?

A. 8 hours

B. 5 hours

C. 6 hours

D. 7 hours

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option C

Explanation:
Let walking time one way be W and riding time one way be R. W + R = 7 hours. Walking both ways: 2W = 8 => W = 4 hours. Substituting W in first equation: 4 + R = 7 => R = 3 hours. Riding both ways: 2R = 2 * 3 = 6 hours.

This question belongs to: Maths Time Speed and Distance

Question #162

Share Report

A car covers a distance of 450 km at a certain speed. If the speed is increased by 5 km/h, it takes 1 hour less to cover the same distance. Find the original speed of the car.

A. 55 km/h

B. 50 km/h

C. 40 km/h

D. 45 km/h

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
Let original speed be s. 450/s - 450/(s+5) = 1 => 450(s + 5 - s) = s(s + 5) => 2250 = s(s + 5). Solving s^2 + 5s - 2250 = 0 gives (s - 45)(s + 50) = 0. Since speed is positive, s = 45 km/h.

This question belongs to: Maths Time Speed and Distance

Question #163

Share Report

A train running at 36 km/h takes 12 seconds to cross a platform. Next, it takes 6 seconds to pass a telegraph post. Find the length of the platform.

A. 80 meters

B. 50 meters

C. 60 meters

D. 70 meters

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option C

Explanation:
Speed of train = 36 * (5/18) = 10 m/s. Length of train = Speed * Time to cross post = 10 * 6 = 60 meters. Total distance to cross platform = Speed * Time = 10 * 12 = 120 meters. Platform length = 120 - 60 = 60 meters.

This question belongs to: Maths Time Speed and Distance

Question #164

Share Report

A runner covers a 100-meter race. The winner finishes in 10 seconds while the runner-up finishes in 10.5 seconds. By what distance does the winner beat the runner-up?

A. 5.25 meters

B. 4.54 meters

C. 5.00 meters

D. 4.76 meters

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
Speed of the runner-up = 100 / 10.5 = 200 / 21 m/s. Distance covered by the runner-up in 10 seconds = (200 / 21) * 10 = 2000 / 21 = 95.24 meters. Distance winner beats runner-up by = 100 - 95.24 = 4.76 meters.

This question belongs to: Maths Time Speed and Distance

Question #165

Share Report

If a man walks at 12 km/h instead of 9 km/h, he travels 15 km more in the same time. Find the actual distance traveled by him.

A. 60 km

B. 35 km

C. 50 km

D. 45 km

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
Let the time duration be t hours. Difference in distance = 12t - 9t = 3t = 15 km => t = 5 hours. Actual distance traveled = 9 * 5 = 45 km.

This question belongs to: Maths Time Speed and Distance

Question #166

Share Report

A train 220 meters long passes a signal post in 11 seconds. How long will it take to cross a platform 300 meters long?

A. 26 seconds

B. 30 seconds

C. 24 seconds

D. 28 seconds

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option A

Explanation:
Speed of train = 220 / 11 = 20 m/s. Total distance to cross platform = 220 + 300 = 520 meters. Time taken = 520 / 20 = 26 seconds.

This question belongs to: Maths Time Speed and Distance

Question #167

Share Report

A motorboat covers a certain distance downstream in a river in 3 hours and returns upstream in 4 hours. If the speed of the river current is 3 km/h, find the speed of the motorboat in still water.

A. 18 km/h

B. 24 km/h

C. 21 km/h

D. 27 km/h

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option C

Explanation:
Let speed of boat in still water be v. Downstream speed = v + 3, Upstream speed = v - 3. Distance is same, so 3(v + 3) = 4(v - 3) => 3v + 9 = 4v - 12 => v = 21 km/h.

This question belongs to: Maths Time Speed and Distance

Question #168

Share Report

A cyclist travels at a speed of 12 km/h for the first 10 km and at a speed of 10 km/h for the next 12 km. Find his average speed for the entire trip.

A. 10.45 km/h

B. 11.24 km/h

C. 11.00 km/h

D. 10.83 km/h

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
Total distance = 10 + 12 = 22 km. Total time taken = 10/12 + 12/10 = 5/6 + 6/5 = (25 + 36) / 30 = 61 / 30 hours. Average speed = 22 / (61/30) = 660 / 61 = 10.82 hours (approx 10.83 km/h).

This question belongs to: Maths Time Speed and Distance

Question #169

Share Report

A train 130 meters long passes a bridge of length 270 meters in 30 seconds. Find the speed of the train in km/h.

A. 45 km/h

B. 54 km/h

C. 50 km/h

D. 48 km/h

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
Total distance = 130 + 270 = 400 meters. Speed = 400 / 30 = 40/3 m/s. In km/h = (40/3) * (18/5) = 8 * 6 = 48 km/h.

This question belongs to: Maths Time Speed and Distance

Question #170

Share Report

A person runs a distance of 1200 meters along a straight road in 4 minutes. What is his speed in km/h?

A. 20 km/h

B. 24 km/h

C. 18 km/h

D. 15 km/h

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option C

Explanation:
Time = 4 minutes = 240 seconds. Speed = 1200 / 240 = 5 m/s. Speed in km/h = 5 * (18/5) = 18 km/h.

This question belongs to: Maths Time Speed and Distance

Question #171

Share Report

A man rows 24 km downstream in 2 hours and the same distance upstream in 6 hours. Find the speed of the stream.

A. 4 km/h

B. 5 km/h

C. 6 km/h

D. 3 km/h

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option A

Explanation:
Downstream speed = 24 / 2 = 12 km/h. Upstream speed = 24 / 6 = 4 km/h. Speed of stream = (12 - 4) / 2 = 8 / 2 = 4 km/h.

This question belongs to: Maths Time Speed and Distance

Question #172

Share Report

A car covers a distance of 360 km at a uniform speed. If the speed had been 15 km/h more, it would have taken 2 hours less for the journey. Find the original speed of the car.

A. 55 km/h

B. 45 km/h

C. 50 km/h

D. 60 km/h

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option B

Explanation:
Let original speed be s. 360/s - 360/(s+15) = 2 => 180/s - 180/(s+15) = 1 => 180(15) = s(s+15) => 2700 = s(s+15). Solving s^2 + 15s - 2700 = 0 gives (s - 45)(s + 60) = 0. Since speed is positive, s = 45 km/h.

This question belongs to: Maths Time Speed and Distance

Question #173

Share Report

A wheel of diameter 70 cm makes 400 revolutions per minute. Find the speed of the vehicle in km/h.

A. 60.0 km/h

B. 48.2 km/h

C. 52.8 km/h

D. 55.4 km/h

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option C

Explanation:
Radius r = 35 cm = 0.35 meters. Circumference = 2 * (22/7) * 0.35 = 2.2 meters. Distance covered in 1 minute = 400 * 2.2 = 880 meters. Distance covered in 1 hour = 880 * 60 = 52800 meters = 52.8 km. Speed = 52.8 km/h.

This question belongs to: Maths Time Speed and Distance

Question #174

Share Report

A man leaves point A at 6 AM at a speed of 4 km/h. Another man leaves point A from the same direction at 8 AM at a speed of 6 km/h. At what distance from point A will they meet?

A. 24 km

B. 20 km

C. 32 km

D. 28 km

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option A

Explanation:
By 8 AM, the first man has traveled for 2 hours, covering 4 * 2 = 8 km. Relative speed = 6 - 4 = 2 km/h. Time taken to meet = 8 / 2 = 4 hours. Distance from A = Speed of second man * Time = 6 * 4 = 24 km.

This question belongs to: Maths Time Speed and Distance

Question #175

Share Report

Excluding stoppages, a truck travels at 90 km/h and including stoppages it travels at 75 km/h. How many minutes does the truck stop per hour?

A. 15 minutes

B. 12 minutes

C. 8 minutes

D. 10 minutes

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
Stoppage time per hour = (90 - 75) / 90 = 15 / 90 = 1/6 hour. In minutes = (1/6) * 60 = 10 minutes.

This question belongs to: Maths Time Speed and Distance

Question #176

Share Report

A train 250 meters long takes 30 seconds to cross a man running at 6 km/h in the opposite direction. Find the speed of the train.

A. 36 km/h

B. 42 km/h

C. 30 km/h

D. 24 km/h

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
Relative speed = 250 / 30 = 25/3 m/s = (25/3) * (18/5) = 30 km/h. In opposite directions, Relative Speed = Speed of train + Speed of man => 30 = Speed of train + 6 => Speed of train = 24 km/h.

This question belongs to: Maths Time Speed and Distance

Question #177

Share Report

A runner covers a circular path of radius 70 meters in 44 seconds. What is his speed in km/h?

A. 30 km/h

B. 36 km/h

C. 40 km/h

D. 45 km/h

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option B

Explanation:
Circumference of circular path = 2 * (22/7) * 70 = 440 meters. Speed = 440 / 44 = 10 m/s. In km/h = 10 * (18/5) = 36 km/h.

This question belongs to: Maths Time Speed and Distance

Question #178

Share Report

A person walks from his residence to his office at 4 km/h and arrives 15 minutes late. If he increases his speed to 6 km/h, he still arrives 5 minutes late. Find the distance.

A. 2 km

B. 2.5 km

C. 1.5 km

D. 3 km

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option A

Explanation:
Time difference = 15 - 5 = 10 minutes = 10 / 60 = 1/6 hour. Let distance be d. d/4 - d/6 = 1/6 => d/12 = 1/6 => d = 2 km.

This question belongs to: Maths Time Speed and Distance

Question #179

Share Report

A boatman rows 15 km downstream in 3 hours and 12 km upstream in 4 hours. What is the speed of the boat in still water?

A. 3.5 km/h

B. 4.5 km/h

C. 4 km/h

D. 5 km/h

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option C

Explanation:
Downstream speed = 15 / 3 = 5 km/h. Upstream speed = 12 / 4 = 3 km/h. Speed in still water = (5 + 3) / 2 = 4 km/h.

This question belongs to: Maths Time Speed and Distance

Question #180

Share Report

In a 100-meter race, A can beat B by 20 meters and B can beat C by 10 meters. By how many meters can A beat C in the same race?

A. 32 meters

B. 26 meters

C. 30 meters

D. 28 meters

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
When A covers 100m, B covers 80m. When B covers 100m, C covers 90m. Thus, when B covers 80m, C covers 90 * (80 / 100) = 72m. Therefore, when A covers 100m, C covers 72m. A beats C by 100 - 72 = 28 meters.

This question belongs to: Maths Time Speed and Distance

Time Speed and Distance MCQs

Practice Questions

More Maths Topics