Examples with solutions for Ratio: Arrange the numbers in Ascending Order

Exercise #1

During a swimming contest, four swimmers completed different distances in varying times:

Swimmer A - 50m in 25 seconds.

Swimmer B - 75m in 50 seconds.

Swimmer C - 20m in 10 seconds.

Swimmer D - 100m in 80 seconds.

Which swimmer had the fastest pace?

Step-by-Step Solution

First calculate the pace for each swimmer. Pace is the time taken per meter.

Swimmer A pace: 2550=0.5 \frac{25}{50} = 0.5 seconds per meter.

Swimmer B pace: 50750.67 \frac{50}{75} \approx 0.67 seconds per meter.

Swimmer C pace: 1020=0.5 \frac{10}{20} = 0.5 seconds per meter.

Swimmer D pace: 80100=0.8 \frac{80}{100} = 0.8 seconds per meter.

Swimmers A and C have the fastest pace at 0.5 seconds per meter. After them swimmer B and last swimmer D.

Answer

Swimmer D
Swimmer A
Swimmer C
Swimmer B

Exercise #2

In the toy store, they want to test which toy car is the fastest
These are the test results:
Car A - 4m in 0.5 seconds.
Car B - 3m in 30 seconds.
Car C - in 4.5 seconds 38m.
Car D - in 2 seconds 15m.

Order the cars from fastest to slowest

Step-by-Step Solution

First, let's calculate the speed of each toy car using the formula Speed=DistanceTime \text{Speed} = \frac{\text{Distance}}{\text{Time}} .

  • For Car A: SpeedA=4 m0.5 s=8 m/s\text{Speed}_A = \frac{4 \text{ m}}{0.5 \text{ s}} = 8 \text{ m/s}
  • For Car B: SpeedB=3 m30 s=0.1 m/s\text{Speed}_B = \frac{3 \text{ m}}{30 \text{ s}} = 0.1 \text{ m/s}
  • For Car C: SpeedC=38 m4.5 s8.44 m/s\text{Speed}_C = \frac{38 \text{ m}}{4.5 \text{ s}} \approx 8.44 \text{ m/s}
  • For Car D: SpeedD=15 m2 s=7.5 m/s\text{Speed}_D = \frac{15 \text{ m}}{2 \text{ s}} = 7.5 \text{ m/s}

After calculating the speeds, we can order the cars from fastest to slowest by comparing their speeds:

  • Car C: 8.44 m/s
  • Car A: 8 m/s
  • Car D: 7.5 m/s
  • Car B: 0.1 m/s

Therefore, the fastest car is Car C, followed by Car A, Car D, and the slowest is Car B.

Thus, the order of the cars from fastest to slowest is:

Car C
Car A
Car D
Car B

Answer

Car C
Car A
Car D
Car B