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A metro covers some distance with 3 stoppages and time at each stoppage is 10 minutes. If the distance between each stoppage is 15 km and the train is running with speed 40 km/h, then by what percent speed of the metro should be reduced to cover the same distance without a stoppage in the same time?

A metro covers some distance with 3 stoppages and time at each stoppage is 10 minutes. If the distance between each stoppage is 15 km and the train is running with speed 40 km/h, then by what percent speed of the metro should be reduced to cover the same distance without a stoppage in the same time? Correct Answer 25%

GIVEN:

There are 3 stoppages and distance between each stoppage is 15 km.

Time at each stoppage = 10 minutes

Speed of metro = 40 km/h

CONCEPT:

Basic Speed Time and Distance concept.

FORMULA USED:

Speed = Distance/Time

CALCULATION:

Total distance covered by Metro = 15 × 4 = 60 km

⇒ Total time taken by metro to cover the distance with stoppages

= (60/40) +

= 1.5 + 0.5 = 2 hours

Now,

Speed of metro when it covers the same distance in 2 hours without stoppage

= 60/2 = 30 km/h

⇒ Difference with speed = 40 – 30 = 10 km/h

∴ Required percent = (10/40) × 100 = 25%

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