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24 Mar 2026, 04:29
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
77% (03:01) correct
23%
(02:24)
wrong
based on 47
sessions
History
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Time
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Candy always drives at a speed of 120 km per hour. After each complete hour of driving, she takes a break from driving of 10t minutes, where t is the number of full hours she has driven so far. If she drove a total of 1,000 km and set out at 8:00 AM, at what time did she arrive?
A. 9:40 PM
B. 10:20 PM
C. 10:40 PM
D. 11:00 PM
E. 2:20 AM (next day)
A. 9:40 PM
B. 10:20 PM
C. 10:40 PM
D. 11:00 PM
E. 2:20 AM (next day)
24 Mar 2026, 10:35
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The concept being tested here is rate/time with a twist: cumulative breaks. The trap most people fall for is miscounting which breaks she actually takes.
1. Figure out her total driving time. At 120 km/hr, 1,000 km takes 1000/120 = 8 and 1/3 hours. So 8 full hours of driving plus 20 more minutes.
2. Now count the breaks. Breaks happen after each COMPLETE hour of driving. She drives 8 full hours, so she takes breaks after hours 1, 2, 3, 4, 5, 6, 7, and 8. That's 8 breaks total. The break after hour 8 happens before she drives that final 20-minute stretch.
3. Add up the break time.
- After hour 1: 10 x 1 = 10 min
- After hour 2: 10 x 2 = 20 min
- After hour 3: 10 x 3 = 30 min
- After hour 4: 10 x 4 = 40 min
- After hour 5: 10 x 5 = 50 min
- After hour 6: 10 x 6 = 60 min
- After hour 7: 10 x 7 = 70 min
- After hour 8: 10 x 8 = 80 min
Total breaks = 10(1+2+3+4+5+6+7+8) = 10 x 36 = 360 minutes = 6 hours
4. Total elapsed time = 8 hr 20 min (driving) + 6 hr (breaks) = 14 hr 20 min.
5. Start time 8:00 AM + 14:20 = 10:20 PM.
Answer is B.
The trap here is answer C (10:40 PM). People sometimes add an extra 9th break thinking she rests after the final partial hour too. She doesn't. The problem says "after each complete hour." That final 20-minute stretch has no break at the end because she arrives.
Also worth noting: answer E (2:20 AM) catches people who multiply wrong or who mistakenly use a non-cumulative break formula.
1. Figure out her total driving time. At 120 km/hr, 1,000 km takes 1000/120 = 8 and 1/3 hours. So 8 full hours of driving plus 20 more minutes.
2. Now count the breaks. Breaks happen after each COMPLETE hour of driving. She drives 8 full hours, so she takes breaks after hours 1, 2, 3, 4, 5, 6, 7, and 8. That's 8 breaks total. The break after hour 8 happens before she drives that final 20-minute stretch.
3. Add up the break time.
- After hour 1: 10 x 1 = 10 min
- After hour 2: 10 x 2 = 20 min
- After hour 3: 10 x 3 = 30 min
- After hour 4: 10 x 4 = 40 min
- After hour 5: 10 x 5 = 50 min
- After hour 6: 10 x 6 = 60 min
- After hour 7: 10 x 7 = 70 min
- After hour 8: 10 x 8 = 80 min
Total breaks = 10(1+2+3+4+5+6+7+8) = 10 x 36 = 360 minutes = 6 hours
4. Total elapsed time = 8 hr 20 min (driving) + 6 hr (breaks) = 14 hr 20 min.
5. Start time 8:00 AM + 14:20 = 10:20 PM.
Answer is B.
The trap here is answer C (10:40 PM). People sometimes add an extra 9th break thinking she rests after the final partial hour too. She doesn't. The problem says "after each complete hour." That final 20-minute stretch has no break at the end because she arrives.
Also worth noting: answer E (2:20 AM) catches people who multiply wrong or who mistakenly use a non-cumulative break formula.
