It takes Max three hours to run 30 kilometers. Georges, on the other hand, travels the same distance in 2 hours and 20 minutes.

Question

3 years ago

10

If both are to complete a 15-kilometre race, how long before Max will Georges arrive to the finish line?

1 answer:

Mamont248 [21] · Answer 1 · 2022-06-04T07:02:23+03:00

George will arrive 20 minutes before Max

It takes Max 3 hours(180 minutes) to run 30 km .

The rate can be calculated as follows:

rate = 30 / 180 = 1/6 km/ min

George uses 2 hours 20 minutes(140 minutes) to run 30 km.

The rate can be calculated as follows:

rate = 30 / 140 = 3/14 km / min

If both are to complete a 15-kilometre race, Therefore,

Max time will be

1 / 6 = 15 / t

t = 15 × 6

t = 90 minutes

George time will be

3/14 = 15 / t

3t = 210

t = 210 / 3

t = 70 minutes

Time difference = 90 - 70 = 20 minutes

Therefore, George will arrive 20 minutes earlier than Max