Question
A night bus runs from 21 50 to 05 18 the next day. Work out the number of hours and minutes that the night bus runs.
▶️Answer/Explanation
7h 28min
From $21:50$ to midnight $(00:00)$
$60$ minutes $= 1$ hour,
$
22:00 – 21:50 = 10 \text{ minutes}
$
Then from $22:00$ to $00:00$ is $2$ hours.
Total time in the first part $2$ hours $10$ minutes.
midnight $(00:00)$ to $05:18$
5 hours 18 minutes.
Total time
Hours $2 + 5 = 7$ hours
Minutes $10 + 18 = 28$ minutes
The night bus runs for 7 hours and 28 minutes.
Question
The travel graph shows the journey of a bus.
(a) Find the distance the bus travels in the first $50$ minutes.
(b) Find how long, in minutes, the bus is stationary.
▶️Answer/Explanation
Ans:
(a) 10km
(b) 40 minutes
Since 1 block = 10 minute
and it start from 14 00 to 14 50 travel 10 km
(b) For stationary we will check slope of Distance – time graph where it is zero
From 15 00 to 15 40 = 40 minute
Question
A night bus runs from 21 50 to 05 18 the next day. Work out the number of hours and minutes that the night bus runs.
▶️Answer/Explanation
7h 28min
From $21:50$ to midnight $(00:00)$
$60$ minutes $= 1$ hour,
$
22:00 – 21:50 = 10 \text{ minutes}
$
Then from $22:00$ to $00:00$ is $2$ hours.
Total time in the first part $2$ hours $10$ minutes.
midnight $(00:00)$ to $05:18$
5 hours 18 minutes.
Total time
Hours $2 + 5 = 7$ hours
Minutes $10 + 18 = 28$ minutes
The night bus runs for 7 hours and 28 minutes.
Question
The train fare from Bangkok to Chiang Mai is 768 baht.
The exchange rate is £1 = 48 baht.
Calculate the train fare in pounds (£).
▶️Answer/Explanation
To calculate the train fare from Bangkok to Chiang Mai in pounds (£), we need to divide the fare in baht by the exchange rate of £1 = 48 baht.
Train fare in baht: 768 baht
Exchange rate: £1 = 48 baht
Train fare in pounds (£) = 768 baht / 48 baht per £1 = £16
Therefore, the train fare from Bangkok to Chiang Mai is £16.
Question
One bracelet costs 85 cents and one necklace costs $7.50 .
Write down an expression, in dollars, for the total cost of b bracelets and n necklaces.
▶️Answer/Explanation
The expression, in dollars, for the total cost of b bracelets and n necklaces can be written as:
Total cost \(= (85 cents\times b) + ($7.50\times n)\)
To convert the cost to dollars, we need to divide the total cost by 100 cents per dollar:
Total cost in dollars\( =\frac{85b+$7.50n}{100}\)
Therefore, the expression for the total cost of b bracelets and n necklaces, in dollars, is:
Total cost in dollars\( =\frac{0.85b+7.50n}{100}\)
This can be simplified as:
Total cost in dollars\(=\frac{85b+750n}{100}\)
Question
Gregor changes \($700\) into euros when the rate is \(1 euro= $1.4131 .\)
Calculate the amount he receives.
▶️Answer/Explanation
Given that 1 euro is equal to $1.4131, we can use this exchange rate to convert $700 to euros:
Amount in euros = Amount in dollars × Exchange rate
Amount in euros\( = $700 \times1 euro/$1.4131\)
Amount in euros ≈\( $495.36\)
Therefore, Gregor would receive approximately €495.36 when he exchanges\( $700\) at the given exchange rate.
Question
Martina Changed 200 Swiss francs (CHF) into euros (€).
The exchange rate was €1 = 1.14 CHF.
Calculate how much Martina received.
Give your answer correct to the nearest euro.
▶️Answer/Explanation
Given that €1 is equal to 1.14 CHF, we can use this exchange rate to convert 200 CHF to euros:
Amount in euros = Amount in CHF / Exchange rate
Amount in euros\(=\frac{200}{1.14}\)
Amount in euros ≈ 175.44 euros
Therefore, Martina received approximately €175.44 when she exchanged 200 Swiss francs at the given exchange rate. Rounded to the nearest euro, she received €175.
Question
On a ship, the price of a gift is 24 euros or \($30.\)
What is the difference in the price on a day when the exchange rate is \(1 euro = $1.2378?\)
Give your answer in dollars, correct to the nearest cent.
▶️Answer/Explanation
Given that the price of the gift is 24 euros, we can use the exchange rate to convert it to dollars:
Price in dollars = Price in euros × Exchange rate
Price in dollars = \(24 euros \times $1.2378/euro\)
Price in dollars =\( $29.7072\)
Rounded to the nearest cent, the price in dollars is approximately \($29.71.\)
Difference in price =\( $30 – $29.71\)
Difference in price ≈ \($0.29\)
Therefore, the difference in price between euros and dollars, when the exchange rate is 1 euro = \($1.2378\), is approximately \($0.29.\)