Arithmetic

Time, Speed & Distance

Medium

applied

Two runners A and B complete a 150 meters race in 24 seconds and 36 seconds respectively. By how many meters will A defeat B?

100 meters

20 meters

25 meters

50 meters

✅ Correct Option: 4

When runner A crosses the finish line at 150 meters, the goal is to find how far behind runner B is at that exact moment.

Runner A completes 150 meters in 24 seconds.

At $t = 24$ seconds, A is at the finish line.

Runner B completes 150 meters in 36 seconds.

B's speed $= \dfrac{150}{36} = \dfrac{25}{6}$ meters per second

Distance covered by B in 24 seconds:

Distance $= \dfrac{25}{6} \times 24$

Distance $= 25 \times 4$

Distance $= 100$ meters

When A finishes at 150 meters, B is at 100 meters.

A defeats B by $= 150 - 100 = 50$ meters

Therefore, A defeats B by 50 meters.

2025: 14 May Shift 2

A person can row a boat at 5 km/hr in still water. If the speed of water current in a river is 1 km/hr, and it takes him 1 hour to row to a place and come back, how far off is the place?

2025: 2 June Shift 1

In a kilometer race P runs at 10 m/sec, Q runs at 5 m/sec then which of the following statement(s) is/ are correct ?

(A) P wins the race in 100 sec

(B) Q wins the race in 100 sec

(D) Q defeats P by 500 m

Choose the correct answer from the options given below:

2026: 22 May Shift 1

A boat can travel 36 km upstream in 5 hours. If the speed of the stream is 2.4 km/hr, how much time will the boat take to cover a distance of 78 km downstream?

2025: 15 May Shift 2

A fisherman is rowing a boat. He takes 6 hours to row 48 km upstream whereas he takes 3 hours to go to the same distance downstream.

Based on the above information, which of the following are correct?

(A) His speed of rowing in still water is 10 km/hour.

(B) The speed of the stream is 3 km/hour.

(D) The speed of the stream is 4 km/hour.

Choose the correct answer from the options given below:

2026: 12 May Shift 2

A person can row a motor boat in still water at the rate of 12 km/hr. It takes him thrice as long to row upstream of a river as to row downstream of the same river. The speed of the stream is :

2026: 18 May Shift 1

A man can row a boat in still water at the rate of 4 km/hr. He finds that it takes him twice as long to row upstream of a river as to row downstream of the same river, then the speed of the current of the river is

Two runners A and B complete a 150 meters race in 24 seconds and 36 seconds respectively. By how many meters will A defeat B?

Solution

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