A person travels from P to Q at a speed of 30 km/h and returns from Q to P at a speed of 40 km/h. What is the ratio of time taken by him in the forward journey to that in the return journey?
Two delivery vans start from a junction hub and track along perpendicular cross lanes. One runs at 24 km/h and the other at 32 km/h. Find the separation distance between them after 1 hour.
Explanation:
In 1 hour, the first van covers 24 km and the second covers 32 km. Direct line separation distance = sqrt(24^2 + 32^2) = sqrt(576 + 1024) = sqrt(1600) = 40 km.
Two trains start from stations A and B and travel towards each other at speeds of 50 km/h and 60 km/h respectively. At the time of their meeting, the second train has traveled 120 km more than the first. Find the distance between A and B.
Explanation:
Let the time they travel before meeting be t hours. Distance difference = 60t - 50t = 10t = 120 km => t = 12 hours. Total distance = (50 + 60) * t = 110 * 12 = 1320 km.
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