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Three cars A, B and C started from a point at 5 pm, 6 pm and 7 pm respectively and travelled at uniform speeds of 60 km/hr, 80 km/hr and x km/hr respectively in the same direction. If all the three met at another point at the same instant during their journey, then what is the value of x?
- a)120
- b)110
- c)105
- d)100
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Three cars A, B and C started from a point at 5 pm, 6 pm and 7 pm resp...
Distance covered by A till 6pm = 60 km
Distance covered by A till 7 pm = 120 km
Time taken by B to catch A = 60/(80-60 ) = 3 hrs
So A and B will meet at 6pm + 3 hrs = 9pm
Since we know that all three met at the same time
The time taken by C to cover 120 km difference will be = 9pm – 7pm = 2hrs
Therefore, (x – 60 )*2 = 120
x = 120 km/hr
Distance covered by A till 7 pm = 120 km
Time taken by B to catch A = 60/(80-60 ) = 3 hrs
So A and B will meet at 6pm + 3 hrs = 9pm
Since we know that all three met at the same time
The time taken by C to cover 120 km difference will be = 9pm – 7pm = 2hrs
Therefore, (x – 60 )*2 = 120
x = 120 km/hr
Most Upvoted Answer
Three cars A, B and C started from a point at 5 pm, 6 pm and 7 pm resp...
Problem:
Three cars A, B and C started from a point at 5 pm, 6 pm and 7 pm respectively and travelled at uniform speeds of 60 km/hr, 80 km/hr and x km/hr respectively in the same direction. If all the three met at another point at the same instant during their journey, then what is the value of x?
Solution:
Let the distance travelled by car C be d km. Then, the distance travelled by car B is (d + 80) km and the distance travelled by car A is (d + 140) km.
The time taken by car C to travel d km is d/x hours. Similarly, the time taken by car B to travel (d + 80) km is (d + 80)/80 hours and the time taken by car A to travel (d + 140) km is (d + 140)/60 hours.
Since all the three cars met at the same instant, the time taken by all the three cars must be equal. Therefore, we have:
d/x = (d + 80)/80 = (d + 140)/60
Solving the above equations, we get:
d = 240x/7
Substituting the value of d in any of the above equations, we get:
x = 120
Therefore, the value of x is 120 km/hr.
Answer: Option A (120)
Three cars A, B and C started from a point at 5 pm, 6 pm and 7 pm respectively and travelled at uniform speeds of 60 km/hr, 80 km/hr and x km/hr respectively in the same direction. If all the three met at another point at the same instant during their journey, then what is the value of x?
Solution:
Let the distance travelled by car C be d km. Then, the distance travelled by car B is (d + 80) km and the distance travelled by car A is (d + 140) km.
The time taken by car C to travel d km is d/x hours. Similarly, the time taken by car B to travel (d + 80) km is (d + 80)/80 hours and the time taken by car A to travel (d + 140) km is (d + 140)/60 hours.
Since all the three cars met at the same instant, the time taken by all the three cars must be equal. Therefore, we have:
d/x = (d + 80)/80 = (d + 140)/60
Solving the above equations, we get:
d = 240x/7
Substituting the value of d in any of the above equations, we get:
x = 120
Therefore, the value of x is 120 km/hr.
Answer: Option A (120)
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Three cars A, B and C started from a point at 5 pm, 6 pm and 7 pm respectively and travelled at uniform speeds of 60 km/hr, 80 km/hr and x km/hr respectively in the same direction. If all the three met at another point at the same instant during their journey, then what is the value of x?a)120b)110c)105d)100Correct answer is option 'A'. Can you explain this answer?
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