Question

Brantley and Shawna walk to Grandma's house at a rate of mi/hr. They ride their bicycles back at 8 mi/hr over the same route that they walked. It takes 1 hr longer to walk than to ride. How long did it take them to walk to Grandma's?

Answer 1

Time taken for walking journey was `1 1/7 hr`

Explanation:

Let time taken for walking and cycling journey be `t_1 and t_2` respectively. Since the distance of both the journey be same, `1*t_1=8*t_2 (1)` and by condition `t_1 = t_2+1 (2)`

Substituting `t_1` in equation (1) we get , `:. t_2+1=8*t_2 or7t_2 =1 or t_2 =1/7 hr :. t_1= 8*t_2=8*1/7=8/7 =1 1/7 hr`
Time taken for walking journey was `1 1/7 hr` [Ans]