Question

A scooterist has to cover a distance of 10 km. he covers first 4km at speed of 40 km/ hr . how fast should he run his scooter for the remaking journey such that his average speed for the entire trip is 60 km/ h

Answer 1

Your Answer

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A scooterist has to cover a total distance of 10km

​Average speed =60km/h( given)

time=Distance/Speed =10/60=1/6 hr

First he cover distance=4km

speed=40km/hr
$time \: = \frac{speed}{distance} = \frac{s}{d} \\ \\ = \frac{4}{40} \\ \\ = \frac{1}{10}$


remaining distance he has to cover=10 - 4=6km


$time \: = \frac{1}{6} - \frac{1}{10} \\ \\ = \frac{5 - 3}{30} \\ \\ = \frac{2}{30} = \frac{1}{15}$


$speed \: = \frac{distance}{time} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{d}{ t} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{6}{ \frac{1}{15} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: = 6 \times 15 \\ \\ \: \: \: \: \: \: \: \: \: \: \: = 90km \: per \: hour$


Thanks

@Be Brainly