Question

​​14. two cyclists make the same trip . the first one takes 3.5 hours and the second with a speed that is 1 km/h greater than that of the first , takes 3 hours. find the speeds of the two cyclists . also, find the distance covered in the trip.

Answer 1

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Answer 2

Answer:

21 km

Step-by-step explanation:

Let the speed of First cyclist be x

Time taken by first cyclist = 3.5 hrs

Distance traveled by first cyclist = $Speed \times Time = 3.5x$

We are given that the second with a speed that is 1 km/h greater than that of the first , takes 3 hours.

So, Speed of second cyclist = x+1

Time taken by second cyclist = 3 hours

Distance traveled by second cyclist = $Speed \times Time = 3(x+1)$

Since we are given that cyclists traveled the same distance

So,  $3.5x=3(x+1)$

$3.5x=3x+3$

$0.5x=3$

$x=\frac{3}{0.5}$

$x=6$

Distance traveled by first cyclist = $3.5x=3.5(6)=21$

Hence the distance covered in the trip is 21 km