Question

Will u help me?

Eric and Charles are on their high school track and field team. Eric is participating in hurdles and the javelin. For every 5 hours that Eric spends practicing hurdles, he practices the javelin for 1.5 hours. Charles is participating in a relay race and the javelin. For every 5 hours that Charles spends practicing for the relay race, he practices the javelin for 2.5 hours.

If Eric practiced hurdles for 15 hours last week, and Eric and Charles practiced javelin for the same amount of time, then how long did Charles practice for the relay race last week?
A.
18 hours
B.
4.5 hours
C.
7.5 hours
D.
9 hours

Answer 1

Charles practiced for the relay race for D. 9 hours last week.

Explanation:

First, I would find the ratios the ratios for converting hurdle to javelin and javelin to relay.

Hurdle : Javelin ; 5 : 1.5

Javelin : Relay ; 2.5 : 5 or 1 : 2

Next, find the factors compared to the original numbers for hurdle to javelin.

15 / 5 = 3

To find the amount of javelin time they did, multiply 1.5 by the factor we got, 3.

1.5 * 3 = 4.5

Finally, double 4.5, since Charles does twice as much relay than he does javelin.

4.5 * 2 = 9 hours