1.

A boy runs for 20 min.at a uniform speed of 18m/h.At what speed should he run for the next 40 min. So that the average speed comes 24km/hr

Answer»

Given that, a boy runs for 20 MIN at a uniform speed of 18 km/h.

Time = 20 min = 20/60 = 1/3 hours

Speed = 18 km/hr

We KNOW that,

Distance = Speed × Time

= 18 × 1/3 = 6 km

We have to find that at what speed should he run for the NEXT 40 min.

Now,

New Time = 40 min = 40/60 = 2/3 hours

New Speed = 24 km/hr

Let us assume that the distance he travelled in 40 min be is x km.

Total distance: x + 6 = 24, x = 24 - 6 = 18 km

Also, assume that he require speed of y km/hr.

Distance = Speed × Time

→ 18 = y × 2/3

→ 18 × 3/2 = y

→ 9 × 3 = y

→ 27 = y

Therefore, the speed of the boys is 27 km/hr.



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