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10 Jun 2026, 20:29
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Hi AnushkaKala,
Your arithmetic is actually perfect. The slip is not in the numbers; it's in what time window your 12 minutes belongs to.
Let's follow your own setup. You fixed the distance at 54 km:
- Time including stops (at 45): 54/45 = 6/5 hr = 72 min
- Time moving only (at 54): 54/54 = 1 hr = 60 min
- Difference = 12 min of stopping. ✅
That 12 minutes is correct - but it's the stoppage during a 72-minute trip, not during a 60-minute hour. The bus moved for 60 min and stood still for 12 min, and 60 + 12 = 72 min of total clock time.
The question asks "per hour," meaning per 60 minutes of clock time (the kind of hour the 45 km/hr average already lives in). So you need to scale your answer down from a 72-minute window to a 60-minute window:
12 min × (60/72) = 10 min
That's why B is right.
The cleaner way to avoid the rescaling: start from the average speed, because 45 km/hr means the bus covers 45 km in one clock hour. Fix the distance at 45 km instead of 54:
- Moving time = 45/54 = 5/6 hr = 50 min
- Stoppage = 60 - 50 = 10 min
Same logic, no conversion needed - because you anchored to the 60-minute hour from the start.
Quick gut-check to lock it in: if a bus stops 12 min for every 72 min of total time, how long does it stop in 36 min? (Answer: 6 min.) Stoppage scales with the size of the window you measure - so always match the window the question asks for.
Answer: B
Your arithmetic is actually perfect. The slip is not in the numbers; it's in what time window your 12 minutes belongs to.
Let's follow your own setup. You fixed the distance at 54 km:
- Time including stops (at 45): 54/45 = 6/5 hr = 72 min
- Time moving only (at 54): 54/54 = 1 hr = 60 min
- Difference = 12 min of stopping. ✅
That 12 minutes is correct - but it's the stoppage during a 72-minute trip, not during a 60-minute hour. The bus moved for 60 min and stood still for 12 min, and 60 + 12 = 72 min of total clock time.
The question asks "per hour," meaning per 60 minutes of clock time (the kind of hour the 45 km/hr average already lives in). So you need to scale your answer down from a 72-minute window to a 60-minute window:
12 min × (60/72) = 10 min
That's why B is right.
The cleaner way to avoid the rescaling: start from the average speed, because 45 km/hr means the bus covers 45 km in one clock hour. Fix the distance at 45 km instead of 54:
- Moving time = 45/54 = 5/6 hr = 50 min
- Stoppage = 60 - 50 = 10 min
Same logic, no conversion needed - because you anchored to the 60-minute hour from the start.
Quick gut-check to lock it in: if a bus stops 12 min for every 72 min of total time, how long does it stop in 36 min? (Answer: 6 min.) Stoppage scales with the size of the window you measure - so always match the window the question asks for.
Answer: B
AnushkaKala
19 Jun 2026, 23:26
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Hi, in the approach for 10 mins - we are calculating the time for 45 km WITHOUT STOPS by taking distance (45km) / Speed (54km without stops) and then subtracting it from the time for 45km WITH STOPS. However, if we take out the the time for 54 km WITH STOPS as Distance (54km)/ Speed (45km with stops) and subtract it from the time for 54 km WITHOUT STOPS THEN SHOULDN'T WE BE GETTING THE ANSWER AS 10 MINS? Why is this approach incorrect?
Bunuel
20 Jun 2026, 00:08
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inciduntveniam
I believe your doubt has already been addressed in the thread.
That approach is incorrect because it changes the time base.
When you use 54 km, the bus takes:
54/45 = 6/5 hours = 72 minutes including stops
and
54/54 = 1 hour = 60 minutes without stops.
So the 12 minutes is the stoppage during a 72-minute trip, not the stoppage per hour.
The question asks for stoppage per 60 minutes, so:
12/72 * 60 = 10 minutes.
