Question

A man cover a distance of 200 km travelling with a uniform speed of 8 km per hour the distance would have been covered in 2 hours less at the speed been as + 5 km per hour calculate the value of x

Answer 1

DISTANCE COVERED BY THE MAN =200 KM
UNIFORM SPEED =8 KM/H
SPEED INCREASE BEFORE 2 HOUR =8+5 KM/H=13 KM/H
DISTANCE COVERED BEFORE 2 HOURS=200-13*2=200-26 KM=174 KM
TIME TAKEN =DISTANCE COVERED / UNIFORM SPEED
                       =174 KM /8 KM/H
                       =21 HOURS 45 MINUTE
TOTAL TIME TAKEN TO COVER THE DISTANCE 200 KM
                               =21 HOURS 45 MINUTE + 2 HOURS
               ANSWER=23 HOURS 45 MINUTE     

Answer 2

Answer:

Speed of the car =x km /hr

Time taken =t hrs

xt=200

∴t= x200

Now, (x+5)(t−2)=200

(x+5)( x 200/ −2)=200

(x+5)(200−2x)=200x

200x−2x

2 +1000−10x=200x

x /2 +5x−500=0

x /2 +25x−20x−500=0

(x+25)(x−20)=0

x=−25,x=20

Speed cannot be negative value, hence, x=20 km/hr