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

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?

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:

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

'

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

answer: it is 1: 47 pm

answer for #1 is c

answer for #2 is d

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