Exercises: Depreciation, costing and conversions

A van bought in Dundalk for €20,000 depreciates by $15\%$ in its first year (reducing balance). Find its value after one year.

A car travels 150 km in 2 hours and 30 minutes. Calculate its average speed in km/h.

On a trip to Belfast, Niamh changes €300 into pounds sterling at a rate of €1 = £0.85. How many pounds does she receive?

A machine costing €45,000 depreciates by $20\%$ per year on the reducing balance method.

1. a) Calculate its value after 3 years.
2. b) Calculate the total depreciation over the 3 years.

A carpenter in Kilkenny is making a rectangular wooden table top $2.4$ m long and $1.2$ m wide. The wood costs €45 per square metre and $10\%$ extra is needed to allow for waste. Labour is 6 hours at €28 per hour.

1. a) Calculate the area of wood needed including waste.
2. b) Calculate the total cost of the table top.

A road sign in Co. Donegal shows a distance of 40 miles. Use $1\text{ mile} = 1.609\text{ km}$ and $1\text{ inch} = 2.54\text{ cm}$.

1. a) Convert 40 miles to kilometres, correct to one decimal place.
2. b) A car travels this distance in 50 minutes. Find its average speed in km/h.
3. c) A tourist's tablet has a screen of width 9.7 inches. Convert this to centimetres.

A farm tractor bought for €80,000 depreciates at $18\%$ per year on the reducing balance.

1. a) Find its value after 4 years, to the nearest euro.
2. b) After how many complete years will its value first fall below €30,000?
3. c) Compare this with straight-line depreciation at €14,400 per year over the same period and comment.

A painter in Athlone is to paint the four walls of a room $5$ m by $4$ m with height $2.5$ m. There is one door of $2\text{ m}^2$ and one window of $3\text{ m}^2$ which are not painted. One litre of paint covers $8\text{ m}^2$ and two coats are needed. Paint is sold in 5-litre tins at €32 each. Labour costs €25 per hour and the job takes 7 hours. A $5\%$ allowance is added to the paint quantity for waste.

1. a) Calculate the area to be painted.
2. b) Calculate the number of tins of paint required.
3. c) Find the total cost of the job.

Cian drives from Dublin to Rosslare, a distance of 165 km, at an average speed of 90 km/h. He then takes a ferry to Wales.

1. a) Calculate the time of the first journey in hours and minutes.
2. b) On the return, Cian drives the first 80 km at 100 km/h and the remaining 85 km at 70 km/h. Calculate his average speed for the whole return journey.
3. c) In Wales he buys fuel at £1.45 per litre, using €1 = £0.86. Express the price in euro per litre and find the cost in euro of 40 litres.