Rose walks 8/3 km in three-fifths of an hour. If her speed remains unchanged, how many kilometres can she walk in one and three quarters of an hour? Express your answer as a mixed number in lowest terms.
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Answer:
7 7/9 km
Step-by-step explanation:
3/5 hour = 2 2/3 km
How many 3/5 hours are there in 1 3/4 hour?
1 3/4 ÷ 3/5
= 7/4 ÷ 3/5
= 7/4 x 5/3
= 35/ 12
Now, there are 35/12 (3/5 hours) in 1 3/4 hour.
Multiply 35/12 by 2 2/3
35/12 × 2 2/3
35/12 x 8/3
If we use cancellation it will be
35/3 × 2/3
=70/9
= 7 7/9 km for 1 3/4 hour
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