1.

In a journey, a car travels at the rate of `20 km h^(-1)` for minutes and then at `30 km h^(-1)` for `20 minutes`. Find (i) the total distance traveled by the car and (ii) the average speed of the car during the journey.

Answer» Here, `v_(1) =20 km h^(-1) ,
`t_(1) =(10)/(60) h 1/6 h.
Distance travelled, `S_(1) =v_(1) v_(1) t_(1) =20 xx 1/6 =(10)/3 km`
Distance travelled, `S_(2) =v_(2) t_(2) =30 xx 1/3 =10 km`
(i) Total distance travelled ,
`S=S_(1) +s_(2) =(10)/3 + 10 =13.33 km`
(ii) Average speed `=S/(t_(1) +t_(2)) =((10//3) +10)/((1//6) +(1//3))`
`=26.66 km h^(-1)`


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