John runs for 10 min. at a uniform speed 9km/h. At what speed should he run for the next 20 min. so that the average speed comes 12km/hr
Answers
Given -
Average speed = 12 km/hr
Total time = (10 + 20) min= 30 min
= 1/2 hr
We know-
Average speed = total distance/total time
= (d1 + d2)/(t1+t2) (1)
We have-
d1 = s×t
= 9×1/6 {10 min = 1/6 hour}
= 3/2 km (2)
Let's find d2 from (1) and (2),
12 = (3/2+d2) /1/2
6 = 3/2 + d2
d2 = 9/2 km . (3)
So, from (3),
Speed = d2/t2
= (9/2)/(1/3)
= 27/2
= 13.5 km/hr
The Run for next 20 minutes should be at 13.5 km/hr so that the average speed comes to 12 km/hr.
Answer:
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Given -
Average speed = 12 km/hr
Total time = (10 + 20) min= 30 min
= 1/2 hr
We know-
Average speed = total distance/total time
= (d1 + d2)/(t1+t2) (1)
We have-
d1 = s×t
= 9×1/6 {10 min = 1/6 hour}
= 3/2 km (2)
Let's find d2 from (1) and (2),
12 = (3/2+d2) /1/2
6 = 3/2 + d2
d2 = 9/2 km . (3)
So, from (3),
Speed = d2/t2
= (9/2)/(1/3)
= 27/2
= 13.5 km/hr
The Run for next 20 minutes should be at 13.5 km/hr so that the average speed comes to 12 km/hr.