Question

On average sherry can travel four times as fast on cross country skis as she can with snow shoes to travel 24 km she needs 6 h more if she is snowshoeing than if she is skiing what is her average speed in cross-country skis

Answer 1

On average, Sherry can travel four times as fast on cross-country skis as she can with snowshoes. To travel 24 km, she needs 6 h more if she is snowshoeing than if she is skiing. What is her average speed on crosscountry skis?

Answer:

Sherry speed on crosscountry skis is 12 km/hr

Solution:

Let "n" be the Sherry's rate on snowshoes

Given that,

Sherry can travel four times as fast on cross-country skis as she can with snowshoes

Sherry rate on cross country skis = 4n

Distance to be traveled = 24 km

Time is given by formula:

`time = (distance)/(speed)`

She needs 6 h more if she is snowshoeing than if she is skiing

Therefore, we get

time taken by snowshoes - 6 = time taken on country skis

`(24)/(n) - 6 = (24)/(4n)`'

`(24-6n)/(n) = (24)/(4n)\\\\24 - 6n = 6\\\\6n = 24 - 6\\\\6n = 18\\\\n = 3`

Thus her speed in snowshoes is 3 km/hr

Speed in country skis = 4n = 4 x 3 = 12 km/hr

Thus speed in country skis is 12 km/hr