# Question: section b rates and ratios1andnbspandnbspandnbspandnbspandnbspandnbspandnbspandnbspandnbsp fully simplify the following ratiosaandnbspandnbspandnbspandnbspandnbsp...

###### Question details

Section B: Rates and Ratios

**1 **Fully** **simplify the following ratios:

a) 24:40

b) 4 minutes: 2 hours

**2 **The ratio of a boy’s weight to that of his father is 3:8. If the boy weighs 28.8 kg, how much does his father weigh?

**3** A weed spray is made of wetting agent and herbicide in the ratio 97:3 respectively. To make 20L of weed spray, how much herbicide would be needed?

**4** Mandy purchased 42L of petrol for $66.36. What was the cost per litre?

**5** If a car uses 12L of fuel to travel 100 km, how much will it use to travel 375 km?

** **

**6 **A tap is dripping at a rate of 32 drops per minute. If each drop contains 1.4 mL of water, calculate the number of litres dripping from the tap in a day.

**7 **Which of the following packet sizes of coffee is the best buy?

a) Small: 150 g for $5.18

b) Large: 1 kg for $45

Show working to justify your answer.

**8** Mark cycled at a speed of 24 km/h for 40 minutes. How far did he travel?

**9 **A tennis ball is served and travels 18 m in 0.54 seconds before hitting the ground.

At what speed in km/h was the ball served?