The ratio between the speeds of two trains is 7:8. If the second train runs 400 km in 4 hours, then the speed of the first train is: MCQ with Answer and Explanation

Question
The ratio between the speeds of two trains is 7:8. If the second train runs 400 km in 4 hours, then the speed of the first train is:
A. 70 km/h
B. 84 km/h
C. 87.5 km/h
D. 75 km/h
Answer: Option C
Solution (By JKSSB Mock Tests)
Speed of second train = 400 / 4 = 100 km/h. Ratio is 7:8, so 8 parts = 100 km/h. 1 part = 12.5 km/h. First train speed = 7 parts = 7 * 12.5 = 87.5 km/h.
This question belongs to: Maths Time Speed and Distance
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Practice More Time Speed and Distance Questions

Question #1
If a person covers a distance of 120 km in 3 hours, find his speed in meters per second.
A. 11.11 m/s
B. 13.33 m/s
C. 10.5 m/s
D. 12.50 m/s
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Correct Answer: Option A

Explanation:
Speed = 120 / 3 = 40 km/h. Converting to m/s = 40 * (5/18) = 200 / 18 = 11.11 m/s.
This question belongs to: Maths Time Speed and Distance
Question #2
A cart wheel turns 1000 revolutions to bridge a sector distance of 1320 meters. Find the diameter size of the turning wheel.
A. 46 cm
B. 42 cm
C. 50 cm
D. 38 cm
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Correct Answer: Option B

Explanation:
Distance covered in 1 single turn revolution = 1320 / 1000 = 1.32 meters = 132 cm. Circumference = 2 * (22/7) * r = 132 cm => Diameter (2r) * (22/7) = 132 => Diameter = 132 * 7 / 22 = 6 * 7 = 42 cm.
This question belongs to: Maths Time Speed and Distance
Question #3
A man rows upstream 13 km and downstream 28 km, taking 5 hours each time. Find the speed of the stream.
A. 1.5 km/h
B. 3 km/h
C. 2 km/h
D. 2.5 km/h
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Correct Answer: Option A

Explanation:
Upstream speed = 13 / 5 = 2.6 km/h. Downstream speed = 28 / 5 = 5.6 km/h. Speed of stream = (Downstream speed - Upstream speed) / 2 = (5.6 - 2.6) / 2 = 3 / 2 = 1.5 km/h.
This question belongs to: Maths Time Speed and Distance
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