A boy running at 10/9 th of his actual speed covers 39 km in 2 hours 20 minutes 24 seconds. Find the actual speed of the boy (approx).
15 km/hr
Given:
Distance = 39 km
Time = 2 hours 20 minutes 24 seconds
Convert time into hours:
20 minutes = 20/60 = 1/3 hour
24 seconds = 24/3600 = 1/150 hour
Total time:
= 2 + 1/3 + 1/150
= (300 + 50 + 1)/150
= 351/150 hours
= 2.34 hours
New speed:
Speed = Distance ÷ Time
= 39 ÷ 2.34
= 50/3 km/h
Given:
New speed = (10/9) × Actual speed
So,
50/3 = (10/9) × Actual speed
Actual speed = (50/3) × (9/10)
= (50 ÷ 10) × (9 ÷ 3)
= 5 × 3
= 15 km/h
Answer: 15 km/h
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