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If Mrs Shipepe earns M600 in two weeks, how long would it take her to earn M1 350? A car travels 350 km in 3 1/2 hours. How far will it travel, at the same speed, in: 1.5 hours 6 hours 135 minutes?

Mathematics

ScanSolve AI Answer

Answers

3 parts
a

150 km\text{150 km}

b

600 km\text{600 km}

c

225 km\text{225 km}

Step-by-step solution

3 steps

1. Mrs Shipepe's Earnings

  1. Calculate Mrs.

    Shipepe's earnings per week.
    She earns M600 in 2 weeks.

    Earnings per week=M6002 weeks=M300 per week\text{Earnings per week} = \frac{\text{M600}}{2 \text{ weeks}} = \text{M300 per week}
  2. Calculate the time it would take her to earn M1 350.

    Time=Desired earningsEarnings per week=M1 350M300 per week=4.5 weeks\text{Time} = \frac{\text{Desired earnings}}{\text{Earnings per week}} = \frac{\text{M1 350}}{\text{M300 per week}} = 4.5 \text{ weeks}

    It would take her 4.5 weeks to earn M1 350.

    2. Car Travel

  3. Calculate the speed of the car.

    The car travels 350 km in 3123\frac{1}{2} hours.

    Speed=DistanceTime=350 km3.5 hours=100 km/h\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{350 \text{ km}}{3.5 \text{ hours}} = 100 \text{ km/h}

    a) How far will it travel in 1.5 hours?

    Distance=Speed×Time=100 km/h×1.5 hours=150 km\text{Distance} = \text{Speed} \times \text{Time} = 100 \text{ km/h} \times 1.5 \text{ hours} = \boxed{\text{150 km}}

    b) How far will it travel in 6 hours?

    Distance=Speed×Time=100 km/h×6 hours=600 km\text{Distance} = \text{Speed} \times \text{Time} = 100 \text{ km/h} \times 6 \text{ hours} = \boxed{\text{600 km}}

    c) How far will it travel in 135 minutes?
    First, convert 135 minutes to hours.

    135 minutes=13560 hours=2.25 hours135 \text{ minutes} = \frac{135}{60} \text{ hours} = 2.25 \text{ hours}

    Now, calculate the distance.

    Distance=Speed×Time=100 km/h×2.25 hours=225 km\text{Distance} = \text{Speed} \times \text{Time} = 100 \text{ km/h} \times 2.25 \text{ hours} = \boxed{\text{225 km}}
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