Question

2 Mathematics. Book VII A car covers a distance of 240 km in 2 3 hour. 2 hours. Find the distance covered in one . foch rido​

Answer 1

Step-by-step explanation:





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>>A car covers a distance of 240 km with s

Question



A car covers a distance of 240 km with some speed. If the speed is increased by 20 km/hr, it will cover the same distance in 2 hours less. Find the speed of the car.

A

40

B

45

C

50

D

60

Medium

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Solution



Verified by Toppr

Correct option is A)

Let the speed of the car be s and time be t

Then, st=240⟹s=t240

and (s+20)(t−2)=240

(t240+20)(t−2)=240

(20t+240)(t−2)=240t

20t2+240t−480−40t=240t

20t2−40t−480=0

t2−2t−24=0

t2−6t+4t−24=0

(t−6)(t+4)=0

t=−4,6

Hence, time is 6 hr

and speed =6