Question 57: Finding the Start Time

 

⏰ Question 57: Finding the Start Time

Q57: We reached our destination at 2:45 pm after travelling for 4 ½ hours. When did we start?

Options:
(a) 9:00 am
(b) 10:00 am
(c) 10:15 am
(d) 8:15 am

📝 Step 1: Understand the problem

We know:

  • End time (destination time) = 2:45 pm

  • Travel time = 4½ hours = 4 hours 30 minutes

We need to find the start time.

💡 Tip: To find the start time, subtract the travel time from the arrival time.

📝 Step 2: Convert mixed fraction to hours and minutes

412 hours=4 hours 30 minutes4 \frac{1}{2} \text{ hours} = 4 \text{ hours } 30 \text{ minutes}

📝 Step 3: Subtract hours first

End time: 2:45 pm
Subtract 4 hours:

2:45−4:00=10:45am2:45 - 4:00 = 10:45 am

📝 Step 4: Subtract minutes

Now subtract 30 minutes:

10:45−0:30=10:15am10:45 - 0:30 = 10:15 am

✅ Step 5: Answer

Start time = 10:15 am

Correct option: (c) 10:15 am ✅

💡 Quick Tip for Time Problems

  1. Convert fractions of hours to minutes.

  2. Subtract hours first, then minutes.

  3. Double-check if you cross am/pm boundary.

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