A train travels at an average of 50 miles per hour for 2x1 2 hour and then travels at a speed of 70 ...........

Quantitative Aptitude ( CCS) Time & distance

A train travels at an average of 50 miles per hour for 2x1/2 hour and then travels at a speed of 70 miles per hour for 1x1/2 hours. How far did the train travel in the entire 4 hours?

130 miles

150 miles

190 miles

230 miles

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Explanation:

There are two parts in the journey of train.

In first part of journey,
Speed of train = 50 miles per hour
Time = 2 × 1/2 hours = 2.5 hours
So distance covered,D1 = Speed × Time
=> D1 = 50 × 2.5 miles
=> D1 = 125 Miles

In second part of journey,
Speed of train = 70 miles/hour
Time = 1 × 1/2 hours = 1.5 hours
=> Distance covered,D2 = Speed × Time
=> D2 = 70 × 1.5 = 105 miles.

So overall total distance covered by train in both parts of journey = D1 + D2 = 125 + 105 = 130 Miles.

Hence, option 1 is the correct answer.