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trasher [3.6K]
2 years ago
14

Jane and sali cycled along the same 63 km route.

Mathematics
1 answer:
Alina [70]2 years ago
8 0

Answer:

<em>Sali's speed was 18.75 km/h.</em>

Step-by-step explanation:

Jane took 3.5 hours to cycle the 63 km.

As,  Speed= \frac{Distance}{Time} , so the speed of Jane will be:  \frac{63}{3.5} km/h = 18 km/h

Suppose, the speed of Sali is  x km/h

Sali caught up with Jane when they had both cycled 30 km.

So, <u>the time required for Jane to cycle 30 km</u> = \frac{30}{18}=\frac{5}{3} hours and <u>the time required for Sali to cycle 30 km</u>  =\frac{30}{x} hours

Given that, Sali started to cycle 4 minutes or (\frac{4}{60}) or (\frac{1}{15}) hours after Jane started to cycle. So, the equation will be.......

\frac{5}{3}-\frac{30}{x}= \frac{1}{15}\\ \\ \frac{30}{x}= \frac{5}{3}-\frac{1}{15}\\ \\ \frac{30}{x}= \frac{24}{15}\\ \\ 24x=450\\ \\ x= \frac{450}{24}= 18.75

Thus, the speed of Sali was 18.75 km/h.

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