Question 4 of 20intermediate🔧 ApplyNumerical3 marks

Safia saw the Moon setting on Monday at 10 pm. Her mother, who is a scientist, told her that every day the Moon sets 56\frac{5}{6} hour later than the previous day. How many hours after 10 pm will the moon set on Thursday?

Correct Answer

Given: Moon sets on Monday at 10 pm. Each day, the Moon sets 56\frac{5}{6} hour later than the previous day.

Calculation: Days from Monday to Thursday = 3 days (Tuesday, Wednesday, Thursday) Total delay = 3×56=1563 \times \frac{5}{6} = \frac{15}{6} hours 156=52=212\frac{15}{6} = \frac{5}{2} = 2\frac{1}{2} hours

Answer: The Moon will set 2122\frac{1}{2} hours after 10 pm on Thursday.

Exercise: Figure it Out (Section 1) | Q: 4 | (Page Page 4)
For More Understanding

Explanation

The chapter explains multiplication of fractions. From Monday to Thursday is 3 days (Tuesday, Wednesday, Thursday). Each day the Moon sets 56\frac{5}{6} hour later. Total delay = 3×56=156=52=2123 \times \frac{5}{6} = \frac{15}{6} = \frac{5}{2} = 2\frac{1}{2} hours.

Solution Steps

  1. Step 1: Count days from Monday to Thursday: Tuesday, Wednesday, Thursday = 3 days

  2. Step 2: Calculate total delay: 3×56=1563 \times \frac{5}{6} = \frac{15}{6} hours

  3. Step 3: Simplify: 156=52=212\frac{15}{6} = \frac{5}{2} = 2\frac{1}{2} hours

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