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\\November 3, 2023 12:46 PM Surender Prajapati Proof 5 Reader _________________________ Date: ___________________74
5. What time was it:
(a) 4 h before 1:30 p.m.? (b) 7 h 25 min before 3:20 p.m.?
6. Find the time interval between 7:25 a.m. and 3:10 p.m.
7. Solve the following word problems.
(a) Shaneya's school starts at 7:45 a.m. and closes at 1:30 p.m. Find her school hours.
(b) A shop opens at 10:30 a.m. and closes at 7:00 p.m. How long does the shop
remains open?
(c) A bus leaves the bus stop at 5:30 a.m. and reaches its destination at 7:45 p.m.
Find the time duration of the journey.
(d) An express train left Vadodara at 4:40 p.m. on Monday and reached Guwahati on
Thursday at 12:30 p.m. Find the total duration of the journey.
(e) Keshav started his job at the age of 23 years 7 months. Now, he is 52 years 2
months old. How long has he been in this job?
Multiplication and Division of Units of Time
Example 1: Multiply 4 hours 15 minutes 30 seconds by 4.
Solution: Step 1: Multiply 30 seconds by 4. h min s
2
30 seconds × 4 = 120 seconds 4 15 30
Convert 120 seconds into minutes and seconds. × 4
120 seconds = 2 × 60 seconds = 2 minutes 00
Carry 2 minutes to the minutes column and write 00 seconds in the
seconds column.
Step 2: Multiply 15 minutes by 4 and add the carry over 2 minutes to the
product. h min s
15 minutes × 4 + 2 minutes = 62 minutes. 1 2
Convert 62 minutes into hours and minutes. × 4 15 30
4
62 minutes = 1 hour and 2 minutes 02 00
Carry 1 hour to the hours column and write 2 minutes in the minutes
column as a 2-digit number.
Step 3: Multiply 4 hours by 4 and add the carry over 1 hour to the product.
(4 × 4) hours + 1 hour = 17 hours. h min s
Write 17 hours in the hours column. 1 2
Thus, the required product is 17 h 02 min 00s. 4 15 30
× 4
Example 2: Divide 16 hours 32 minutes 40 seconds by 5. 17 02 00
Solution: Step 1: Divide 16 hours by 5. 3 hours
Write 3 hours as quotient and 1 hour as 5 16 hours
remainder. 15
1 hour
204 Mathematics-5

