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In a 200 m race, Shruti runs at the speed of 4 km/h. Shruti gives a start of 18 m to Veena and still beats her by 30s. What is Veena's speed?

In a 200 m race, Shruti runs at the speed of 4 km/h. Shruti gives a start of 18 m to Veena and still beats her by 30s. What is Veena's speed? Correct Answer 3.12 km/h

Given:

Total distance = 200 m

Speed of Shruti = 4 km/h

Concept used:

Speed = Distance/time

km/h × 5/18 = m/sec

Calculation:

Speed of Shruti in m/sec = 4 × 5/18

⇒ 10/9 m/sec

Time taken by Shruti to cover 200 m = 200 × 9/10

⇒ 180 sec

Time taken by Veena to complete the race = 180 + 30 = 210 sec

Distance cover by Veena = 200 - 18 = 182 m

Speed of Veena = 182/210 × 18/5

⇒ 3.12 km/h

∴ Veena's speed is 3.12 km/h

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