A man travelled 300 km in a car at a constant speed If the speed of the car is increased by 10 km/he he would have reached 1 hr earlier find the speed of the car
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A man travelled 300 km in a car at a constant speed If the speed of the car is increased by 10 km/he he would have reached 1 hr earlier find the speed of the car
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Let speed of car be x km/h.
and total time in journey be 't'
then
Given x=t300
xt=300-----(1)
and if speed =x+10
time=t-1
x+10=(t−1)300
(x+10)(t-1)=300---(2)
xt-x+10t-10=300
10t-x=310-300=10
10t-x=10
10t-t300=10
10t2−10t−300=0
t2−t−30=0
(t-6)(t+5)=0
t=6 & t=−5
if t=6 then x=6300=50
speed of car be 50 km/h
and time journey be 6 hrs
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