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12 August, 11:49

A train travels from city a to city b and then to city

c. The distance from a to b is 120 miles and the distance from b to c is 187.5 miles. The average speed from a to b was 40 miles per hour, and the average speed from b to c was 75 mph. What was the average speed from a to c (that is for the entire trip) in miles per hour?

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  1. 12 August, 14:29
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    The distance from a to b is d1=120 miles, distance from b to c d2=187.5 miles

    average speed (velocity) from a to b is v1=40 miles/hour

    average speed from b to c is v2=75 miles/hour

    The formula for average speed from a to c is v = (d1+d2) / (t1+t2)

    We have not time and we will calculate it

    t1=d1/v1 = 120/40=3 hour and t2=d2/v2=187.5/75=2.5hour

    Average speed for a to c is

    v = (120+187.5) / (3+2.5) = 307.5/5.5 = 55.9 ≈ 60miles/hour

    Good luck!
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