# John goes to school and returns home at speed x km/h and (x + 1) km/h respectively. The school is 2 km from John’s home and the total time for the two journeys is 54 minutes. Which of the...

John goes to school and returns home at speed *x *km/h and (*x *+ 1) km/h respectively. The school is 2 km from John’s home and the total time for the two journeys is 54 minutes. Which of the following equations can be used to find *x*?

A) `x/2+(x+1)/2= 54/60`

B) `2/x+2/(x+1) =54/60`

C) `[x+(x+1)] * (1/2) / 4 =54/60`

D) `4/([x+(x+1)] * (1/2)) = 54/60`

E) `2x+2(x+1)=54/60`

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Expert Answers

jeew-m | Certified Educator

Let us say to go to school John takes `t_1` hours and for the return it takes `t_2` hours.

`xt_1 = 2`

`t_1 = 2/x`

`(x+1)t_2 = 2`

`t_2 = 2/(x+1)`

The total time for two trips is 54 minutes which is `54/60` hrs.

`t_1+t_2 = 54/60`

`2/x+2/(x+1) = 54/60`

*So the correct equation would the equation at answer B)*