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Mr. W travelled 370 km, 390 km and 720 km at speeds of 37 km/hr, 5 km/hr and 8 km/hr, respectively. Find his average speed in km/hr.​
Question

Mr. W travelled 370 km, 390 km and 720 km at speeds of 37 km/hr, 5 km/hr and 8 km/hr, respectively. Find his average speed in km/hr.​

A.

2189\frac{21}{89} \\​​

B.

3089\frac{30}{89} \\​​

C.

2789\frac{27}{89} \\​​

D.

2889\frac{28}{89}​​

Correct option is D

Given:
Mr. W traveled 370 km at a speed of 37 km/h.
Mr. W traveled 390 km at a speed of 5 km/h.
Mr. W traveled 720 km at a speed of 8 km/h.
Formula Used:
Average speed=Total distance traveledTotal time taken\text{Average speed} = \frac{\text{Total distance traveled}}{\text{Total time taken}}​​
Solution:
Time for the first part (370 km at 37 km/h) =37037=10 hours\frac{370}{37} = 10 \, \text{hours}​ 

Time for the second part (390 km at 5 km/h) = 3905=78 hours\frac{390}{5} = 78 \, \text{hours}

Time for the third part (720 km at 8 km/h) = 7208=90 hours\frac{720}{8} = 90 \, \text{hours}​​
Total distance = 370 + 390 + 720 = 1480 km
Total time taken = 10 + 78 + 90 = 178 hours
Average speed = 1480178=82889km/hr \frac{1480} {178} =8 \frac{28}{89} km/hr​​

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