On a track of 235km, bus travels the first 60km at a uniform speed of 40km/h. How fast the bus should travel the next 175km so as to get the average speed of 47km/h for the entire trip.
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Answer:-
Given:
Length of the track = distance travelled by the bus = 235 km.
Average speed of the bus = 47 km/h
It travels first 60 km with a speed of 40 km/h.
We know that,
Time = Distance/speed
→ Time taken by the bus = 60/40 = 3/2 hrs.
Similarly , let the speed of the bus to travel next 175 km be x km/h.
→ Time taken to travel next 175 km = (175/x) hrs.
We know that,
Average speed = Total Distance travelled/total Time taken.
- Total distance travelled = 235 km.
- Total Time taken = (3/2 + 175/x ) hrs.
- Average speed = 47 km/hr.
Hence,
→ 47 = 235 / [ 3/2 + 175/x ]
→ 47 = 235 / [ (3x + 350)/2x ]
→ 47 = 235 * (2x/3x + 350)
→ 47 (3x + 350) = 470x
→ 141x + 16450 = 470x
→ 16450 = 470x - 141x
→ 16450 = 329x
→ 50 km/h = x
Therefore, the bus has to travel with a speed of 50 km/h to make the Average speed of 47 km/hr for the whole trip.
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