a man rides at the rate of 12km/hr. and stops 5 minutes at the end of every 7km. how long will he take to go 94 km ?

Dear Student,

Please find below the solution to the asked query:

Given : A man rides at the rate of 12 km/hr. and stops 5 minutes at the end of every 7 km. So

To find how many times he will stop in 94 km journey we find value of $\frac{94}{7}$ , So
$\frac{94}{7} = \mathbf{13}\frac{\mathbf{3}}{\mathbf{7}}$ , So he will stop 13 times , Then

Time taken in total stops = 13 $\times$ 5  = 65 minutes  =  60 + 5 ) minutes =  1 hr + 5 minutes   ( We know 1 hr  = 60 minutes )

And we know Time = $\frac{\mathrm{Distance}}{\mathrm{Speed}}$ , So

Time taken to cover 94 km  = $\frac{94}{12} = 7\frac{10}{12} \mathrm{hr} = 7 + \frac{10}{12} = 7 \mathrm{hr} + \frac{10}{12}\times 60 \min = 7 \mathrm{hr} +\left( 10\times 5\right) \min = \mathbf{ }\mathbf{7}\mathbf{ }\mathbf{hr}\mathbf{ }\mathbf{+}\mathbf{ }\mathbf{50}\mathbf{ }\mathbf{min}$

Therefore,

Total time  he will take to go 94 km =  1 hr + 5 minutes + 7 hr + 50 minutes  =  8 hr 55 minutes                ( Ans )


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