Latest GENPACT Aptitude Question SOLUTION: Two cars left, at 8 am, from the same point, one traveling east at 50 mph and the other travelling south at 60 mph. At what time will they be 300 miles apart?

• Placement Papers
• /
• GENPACT

GENPACT Question Papers: GENPACT Company Profile

(#M40005387) GENPACT question Problem on time & distance Keep an EYE

Two cars left, at 8 am, from the same point, one traveling east at 50 mph and the other travelling south at 60 mph. At what time will they be 300 miles apart?

Asked In GENPACT (12 years ago)

Unsolved Read Solution (2)

Is this Puzzle helpful?   (6)   (4) Submit Your Solution

Read Solution (2) :

Praveen Talawar  (10 years ago)

As I think,
they will 10 miles apart in 1 hr,because when a covers 50 miles in 1 hr, B covers 60 miles so B is 10 miles apart from A in 1 hr.
Therefore 10 miles - 1 hr
300 miles - x hr
Solving this: 10 x = 300 => x=30 hr.So It takes 30 hr from 8 AM.

Is this solution Helpfull? Yes (1) | No (2)  

Upasana Ghosh  (7 years ago)

The two cars are traveling in directions that are at right angle. Let x and y be the distances traveled by the two cars in t hours. Hence

x = 50 t and y = 60 t

Since the two directions are at right angle, Pythagora's theorem can used to find distance D between the two cars as follows:

D = sqrt ( x 2 + y 2 )

We now find the time at which D = 300 miles by solving

sqrt ( x 2 + y 2 ) = 300

Square both sides and substitute x and y by 50 t and 60 t respectively to obtain the equation

(50 t) 2 + (60 t) 2 = 300 2

Solve the above equations to obtain

t = 3.84 hours (rounded to two decimal places) or 3 hours and 51 minutes (to the nearest minute)

The two cars will 300 miles apart at

8 + 3 h 51' = 11:51 am.

Is this solution Helpfull? Yes | No   

Please Login to Read Solution.