Arithmetic

Time, Speed & Distance

Medium

applied

In a kilometer race, A beats B by 50 meters or by 5 seconds, then the time taken by A to complete the race is

85 seconds

90 seconds

95 seconds

120 seconds

✅ Correct Option: 3

When A finishes the 1000m race, B is still running and is 50 meters behind at the 950m mark. This same moment can also be described as B needing 5 more seconds to finish the race.

When A crosses the finish line at 1000 meters, B is at 950 meters (50m behind).

Let $t$ be the time taken by A to complete the race.

Since B covered 950 meters in $t$ seconds:

B's speed $= \dfrac{950}{t}$ meters per second

B still needs to cover the remaining 50 meters, which takes 5 more seconds.

B's speed $= \dfrac{50}{5}$

B's speed $= 10$ meters per second

Setting the two expressions for B's speed equal:

$\dfrac{950}{t} = 10$

$950 = 10t$

$t = 95$ seconds

Therefore, the time taken by A to complete the race is 95 seconds.

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In a kilometer race, A beats B by 50 meters or by 5 seconds, then the time taken by A to complete the race is

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