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In a race of 600 meters, Ajay beats Vijay by 60 meters, and in a race of 500 meters, Vijay beats Anjay by 25 meters. By how many meters will Ajay beat Anjay in a race of 400 meters?
- a)48 meter.
- b)52 meter.
- c)56 meter.
- d)58 meter.
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
In a race of 600 meters, Ajay beats Vijay by 60 meters, and in a race...
When Ajay runs 600 meters.
View all questions of this test
Vijay runs 540 meters.
And when Vijay runs 500 meter
Anjay runs 475 meters.
∴ Ajay : Vijay : Anjay = 600 : 540
500 : 475
= 30 : 27 : 25.65
∴ When Ajay runs 400 meter
Anjay will run 400×25.65/30
= 342 meters.
∴ Ajay will be at Anjay by
400 - 342 = 58 meters.
Most Upvoted Answer
In a race of 600 meters, Ajay beats Vijay by 60 meters, and in a race...
Given information:
- Ajay beats Vijay by 60 meters in a race of 600 meters.
- Vijay beats Anjay by 25 meters in a race of 500 meters.
To find:
- By how many meters will Ajay beat Anjay in a race of 400 meters?
Solution:
1. Calculate the speed of Ajay, Vijay, and Anjay in their respective races.
- Speed = Distance/Time
For Ajay:
Speed in 600 meters race = 600/T1, where T1 is the time taken by Ajay to complete the race.
Speed in 400 meters race = 400/T2, where T2 is the time taken by Ajay to complete the race.
For Vijay:
Speed in 500 meters race = 500/T3, where T3 is the time taken by Vijay to complete the race.
For Anjay:
Speed in 500 meters race = 500/T4, where T4 is the time taken by Anjay to complete the race.
Speed in 400 meters race = 400/T5, where T5 is the time taken by Anjay to complete the race.
2. Use the given information to form equations and solve for unknowns.
- Ajay beats Vijay by 60 meters in a race of 600 meters.
600/T1 - 500/T3 = 60
- Vijay beats Anjay by 25 meters in a race of 500 meters.
500/T3 - 500/T4 = 25
3. Simplify the equations and solve for T1 and T4.
T1 = 4/3 T3 + 40
T4 = 20T3/17
4. Substitute T1 and T4 in the expressions for Ajay's and Anjay's speeds in the 400 meters race.
Speed of Ajay in 400 meters race = 400/(4/3 T3 + 40)
Speed of Anjay in 400 meters race = 400/(20T3/17)
5. Calculate the difference in speeds between Ajay and Anjay in the 400 meters race.
Difference in speeds = Speed of Ajay - Speed of Anjay
= 400/(4/3 T3 + 40) - 400/(20T3/17)
= 400/((4/3 T3 + 40)(20T3/17)) * (17/3 - 1)
= 400/(4T3/5 + 68/15) * 2/15
= 800/(8T3/5 + 136/15)
= 800/(8/5(T3 + 17/6))
6. Substitute T3 = 500/(25+T4) in the expression for the difference in speeds.
Difference in speeds = 800/[8/5(500/(25+T4) + 17/6)]
= 58 meters (approx.)
Therefore, Ajay will beat Anjay by 58 meters in a race of 400 meters. Answer: (d)
- Ajay beats Vijay by 60 meters in a race of 600 meters.
- Vijay beats Anjay by 25 meters in a race of 500 meters.
To find:
- By how many meters will Ajay beat Anjay in a race of 400 meters?
Solution:
1. Calculate the speed of Ajay, Vijay, and Anjay in their respective races.
- Speed = Distance/Time
For Ajay:
Speed in 600 meters race = 600/T1, where T1 is the time taken by Ajay to complete the race.
Speed in 400 meters race = 400/T2, where T2 is the time taken by Ajay to complete the race.
For Vijay:
Speed in 500 meters race = 500/T3, where T3 is the time taken by Vijay to complete the race.
For Anjay:
Speed in 500 meters race = 500/T4, where T4 is the time taken by Anjay to complete the race.
Speed in 400 meters race = 400/T5, where T5 is the time taken by Anjay to complete the race.
2. Use the given information to form equations and solve for unknowns.
- Ajay beats Vijay by 60 meters in a race of 600 meters.
600/T1 - 500/T3 = 60
- Vijay beats Anjay by 25 meters in a race of 500 meters.
500/T3 - 500/T4 = 25
3. Simplify the equations and solve for T1 and T4.
T1 = 4/3 T3 + 40
T4 = 20T3/17
4. Substitute T1 and T4 in the expressions for Ajay's and Anjay's speeds in the 400 meters race.
Speed of Ajay in 400 meters race = 400/(4/3 T3 + 40)
Speed of Anjay in 400 meters race = 400/(20T3/17)
5. Calculate the difference in speeds between Ajay and Anjay in the 400 meters race.
Difference in speeds = Speed of Ajay - Speed of Anjay
= 400/(4/3 T3 + 40) - 400/(20T3/17)
= 400/((4/3 T3 + 40)(20T3/17)) * (17/3 - 1)
= 400/(4T3/5 + 68/15) * 2/15
= 800/(8T3/5 + 136/15)
= 800/(8/5(T3 + 17/6))
6. Substitute T3 = 500/(25+T4) in the expression for the difference in speeds.
Difference in speeds = 800/[8/5(500/(25+T4) + 17/6)]
= 58 meters (approx.)
Therefore, Ajay will beat Anjay by 58 meters in a race of 400 meters. Answer: (d)
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In a race of 600 meters, Ajay beats Vijay by 60 meters, and in a race of 500 meters, Vijay beats Anjay by 25 meters. By how many meters will Ajay beat Anjay in a race of 400 meters?a)48 meter.b)52 meter.c)56 meter.d)58 meter.Correct answer is option 'D'. Can you explain this answer?
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In a race of 600 meters, Ajay beats Vijay by 60 meters, and in a race of 500 meters, Vijay beats Anjay by 25 meters. By how many meters will Ajay beat Anjay in a race of 400 meters?a)48 meter.b)52 meter.c)56 meter.d)58 meter.Correct answer is option 'D'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about In a race of 600 meters, Ajay beats Vijay by 60 meters, and in a race of 500 meters, Vijay beats Anjay by 25 meters. By how many meters will Ajay beat Anjay in a race of 400 meters?a)48 meter.b)52 meter.c)56 meter.d)58 meter.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a race of 600 meters, Ajay beats Vijay by 60 meters, and in a race of 500 meters, Vijay beats Anjay by 25 meters. By how many meters will Ajay beat Anjay in a race of 400 meters?a)48 meter.b)52 meter.c)56 meter.d)58 meter.Correct answer is option 'D'. Can you explain this answer?.
In a race of 600 meters, Ajay beats Vijay by 60 meters, and in a race of 500 meters, Vijay beats Anjay by 25 meters. By how many meters will Ajay beat Anjay in a race of 400 meters?a)48 meter.b)52 meter.c)56 meter.d)58 meter.Correct answer is option 'D'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about In a race of 600 meters, Ajay beats Vijay by 60 meters, and in a race of 500 meters, Vijay beats Anjay by 25 meters. By how many meters will Ajay beat Anjay in a race of 400 meters?a)48 meter.b)52 meter.c)56 meter.d)58 meter.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a race of 600 meters, Ajay beats Vijay by 60 meters, and in a race of 500 meters, Vijay beats Anjay by 25 meters. By how many meters will Ajay beat Anjay in a race of 400 meters?a)48 meter.b)52 meter.c)56 meter.d)58 meter.Correct answer is option 'D'. Can you explain this answer?.
Solutions for In a race of 600 meters, Ajay beats Vijay by 60 meters, and in a race of 500 meters, Vijay beats Anjay by 25 meters. By how many meters will Ajay beat Anjay in a race of 400 meters?a)48 meter.b)52 meter.c)56 meter.d)58 meter.Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Railways.
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