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18 Dec 2025, 07:35
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Distance,M:Monitoring stn, W: Workshop
W to M, Distance =D, speed s1=45, time t1
M to W, Distance = D, speed s2, time = t2 = 6
Find t1
(1) D= 180, s1=45, hence t1= 180/45 =4. Sufficient
(2) given avg speed=36, and s1, we can find s2. Given s2 and t2, we find D. Given D, s1,we find t1. Sufficient.
W to M, Distance =D, speed s1=45, time t1
M to W, Distance = D, speed s2, time = t2 = 6
Find t1
(1) D= 180, s1=45, hence t1= 180/45 =4. Sufficient
(2) given avg speed=36, and s1, we can find s2. Given s2 and t2, we find D. Given D, s1,we find t1. Sufficient.
18 Dec 2025, 07:40
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(1)
Time = Distance/Speed = 180/45 = 4 hours
Sufficient
(2)
2*Distance = AvgSpeed * TotalTime = 36 * (Distance/45 + 6)
Distance = 18/45 * Distance + 18*6 = 2/5 * Distance + 18*6
3/5 * Distance = 18*6
Distance = 36 * 5 = 180
Time = Distance/Speed = 180/45 = 4 hours
Sufficient
The correct answer is D
Time = Distance/Speed = 180/45 = 4 hours
Sufficient
(2)
2*Distance = AvgSpeed * TotalTime = 36 * (Distance/45 + 6)
Distance = 18/45 * Distance + 18*6 = 2/5 * Distance + 18*6
3/5 * Distance = 18*6
Distance = 36 * 5 = 180
Time = Distance/Speed = 180/45 = 4 hours
Sufficient
The correct answer is D
18 Dec 2025, 07:42
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What we know is
Speed to station = 45km/h
Time for return trip = 6hrs
Let,
Distance in 1 way = x
Time to reach the station = y
=> y = x/45
We need to find the time y for which we need the distance x here.
Lets go through the statements 1 by 1
Statement (1),
The distance from the workshop to the monitoring station is 180km
=> y = 180/45 = 4hrs
Statement(1) alone is sufficient
Statement (2),
The cart's average speed for the entire round trip is 36km/hr
Average speed = Total distance/Total time
Total distance = 2x
Total time = y + 6
x = 45y
=> 36 = 2x/(y+6)
=> 36 = 90y/(y+6)
=> y = 4
Statement (2) alone is sufficient
D. Each statement alone is sufficient
Speed to station = 45km/h
Time for return trip = 6hrs
Let,
Distance in 1 way = x
Time to reach the station = y
=> y = x/45
We need to find the time y for which we need the distance x here.
Lets go through the statements 1 by 1
Statement (1),
The distance from the workshop to the monitoring station is 180km
=> y = 180/45 = 4hrs
Statement(1) alone is sufficient
Statement (2),
The cart's average speed for the entire round trip is 36km/hr
Average speed = Total distance/Total time
Total distance = 2x
Total time = y + 6
x = 45y
=> 36 = 2x/(y+6)
=> 36 = 90y/(y+6)
=> y = 4
Statement (2) alone is sufficient
D. Each statement alone is sufficient
18 Dec 2025, 07:53
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Workshop (W) ---------------------------------------------- Monitoring station (MS)
Speed from W to MS = 45 kmph
let time taken from W to MS = t
Time taken from MS to W = 6 hrs
(1) Total distance given is 180 km.
We know speed from W to MS is 45 kmph. By formula Time = Distance / Speed
Time = 180/45 = 4 hrs
Therefore, statement 1 alone is sufficient.
(2) One way distance is 45 x t. Total distance would be 2 x 45t
Average speed = Total distance / total time taken
36 = 2 x 45t / 6 + t
36 (6 + t) = 2 x 45t
Solving the above, t = 4 hours.
Hence the statement 2 alone is sufficient.
Answer - both statements alone are sufficient
Speed from W to MS = 45 kmph
let time taken from W to MS = t
Time taken from MS to W = 6 hrs
(1) Total distance given is 180 km.
We know speed from W to MS is 45 kmph. By formula Time = Distance / Speed
Time = 180/45 = 4 hrs
Therefore, statement 1 alone is sufficient.
(2) One way distance is 45 x t. Total distance would be 2 x 45t
Average speed = Total distance / total time taken
36 = 2 x 45t / 6 + t
36 (6 + t) = 2 x 45t
Solving the above, t = 4 hours.
Hence the statement 2 alone is sufficient.
Answer - both statements alone are sufficient
