Question

Timothy spends 2.4 hours doing his homework. He did Math, English, History, and Social studies in the ratio 2:2:3:1. How much time did he spend on each subject?

Answer 1

There are 8 parts in total by adding the ratio. Math 2/8×2.4=0.6 hr Eng. 2/8×2.4=0.6 hr Hist. 3/8×2.4=0.9hr Social. 1/8×2.4=0.3 hr. Add them all will get 2.4

Answer 2

Time spend doing math home work is 0.6 hour

Time spend doing English home work is0.6 hour

Time spend doing history home work is 0.9 hour

Time spend doing social studies home work is 0.3 hour

Explanation:

Ratio of time spend by Timothy while doing math, english, history, and social studies homework :2:2:3:1

Let the time spend doing math home work be 2x

Let the time spend doing English home work be 2x

Let the time spend doing history home work be 3x

Let the time spend doing social studies home work be 1x

Total time spend by timothy = 2.4 hours

`2x+2x+3x+1x=2.4 hours`

`8x=2.4 hours`

x = 0.3 hours

Time spend doing math home work =2x = 2 × 0.3 hour = 0.6 hour

Time spend doing English home work =2x = 2 × 0.3 hour = 0.6 hour

Time spend doing history home work =3x = 3 × 0.3 hour = 0.9 hour

Time spend doing social studies home work =1x = 1 × 0.3 hour = 0.3 hour