Question

8 Darpan runs a distance of 12 km and then cycles a distance of 26 km. His running speed is x km/h and his cycling speed is 10 km/h faster than his running speed He takes a total time of 2 hours 48 minutes.
(a) An expression for the time, in hours, Darpan takes to run the 12 km is 12/X Write an equation, in terms of x, for the total time he takes in hours.​

Answer 1

The equation in terms of x, for the total time he takes in hours would be 2.48 = 12/x  + 26/10x

What is speed?

Speed can be calculated as the ratio of distance traveled to the time taken

Darpan runs a distance of 12 km and then cycles a distance of 26 km.

Total distance = 12 + 26 = 38km

The running speed is x km/h

A = x

The cycling speed is 10 km/h faster than his running speed

B = 10x

He takes a total time of 2 hours and 48 minutes.

So, the total time he takes

Time = Distance x speed

2.48 = 12/x  + 26/10x

10x(2.48) = 120 + 26

24.8x = 146

x = 5.8

Learn more about speed here;

brainly.com/question/7359669

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