Arithmetic

Time, Speed & Distance

Medium

applied

In 900 meters race, Ram gives Shyam a start of 150 meters and defeats him by 50 seconds. If the speed of Ram is 4.5 m/sec, then speed of Shyam is

3.5 m/sec

2 m/sec

3 m/sec

4.5 m/sec

✅ Correct Option: 3

Ram gives Shyam a start of 150 meters, meaning:

Ram runs the full 900 meters
Shyam only runs $900 - 150 = 750$ meters

Ram defeats Shyam by 50 seconds means Shyam takes 50 seconds more than Ram to complete the race.

Ram's speed is $4.5$ m/sec and he runs $900$ meters.

Time taken by Ram $= \dfrac{\text{Distance}}{\text{Speed}}$

Time taken by Ram $= \dfrac{900}{4.5}$

Time taken by Ram $= 200$ seconds

Since Ram defeats Shyam by 50 seconds:

Time taken by Shyam $= 200 + 50$

Time taken by Shyam $= 250$ seconds

Shyam runs $750$ meters in $250$ seconds.

Speed of Shyam $= \dfrac{\text{Distance}}{\text{Time}}$

Speed of Shyam $= \dfrac{750}{250}$

Speed of Shyam $= 3$ m/sec

Therefore, the speed of Shyam is $3$ m/sec.

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