Question

A long-distance runner trains for 3 hours.
During the first part of the training, he
keeps a pace of 7 miles per hour (mph).
For the second part, he slows down to 5
mph. At the end of the run, he has
traveled a total of 19.5 miles. How long did
he spend at each speed?

Answer 1

A long-distance runner trains for 3 hours. During the first part of the training, he spends 7 miles per hour, 5 miles per hour for the second hour, and 7.5 miles per hour for the third hour.

• Time-taken to run = 3 hours

For the first part

• distance = 7 miles
• time = 1 hour

For the second part

• distance = 5 miles
• time = 1 hour

∴

The total distance covered in two hours = (7 + 5) miles = 12 miles

Since he needs to cover a total distance of 19.5 miles in 3 hours;

It implies  that for the third speed, he will travel a distance of:

= (19.5 - 12) miles

= 7.5 miles

Therefore, we can conclude that in the first hour, he spends 7 miles per hour, 5 miles per hour for the second hour, and 7.5 miles per hour for the third hour.

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