Working With Time - Part 2 - Working With Time

Oct 20, 2026

Uploaded by Theodore

A set of four mathematics problems on working with time and solving rates. Tasks include calculating delivery time and pay when leaflets are priced per 1000 and shared equally among friends, determining a total delivery time under indirect proportion, and comparing a pool-emptying schedule using different numbers of identical pumps. A final multi-project calculation combines times for three projects to find the total completion time when all participants work together.

LanguageEnglish

CategoryExam

FormatPDF

Pages9

Reading Time23 min

AccessFree to download

Question 1 (Non-Calculator Level 2)

Leaflet delivery time and pay

Question 2 (Non-Calculator Level 2)

Leaflet delivery time and pay with three people

Question 3 (Calculator Level 2)

Pool emptying time with four pumps

Question 4 (Non-Calculator Level 2)

Total time for three projects

Working With Time Question 1 (Non-Calculator Level 2) Lisa sees this advert in her local paper. Leaflet distributors needed £60 per 1000 leaflets She agrees to deliver 2500 leaflets. It will take her 10.5 hours to deliver the leaflets. She decides to ask her friends Tilly and Kai to help her deliver the leaflets. They each deliver an equal number of leaflets in an equal amount of time. (a) How long will it take Lisa, Tilly and Kai to deliver the leaflets? Include units in your answer. The money is shared equally between the 3 friends. (b) How much does each of them get paid? £ Question 2 (Non-Calculator Level 2) Shanika sees this advert in her local paper. Leaflet distributors needed £70 per 1000 leaflets She agrees to deliver 4000 leaflets with her friend Atif. It takes them both 8.25 hours to deliver the leaflets. The next week they decide to ask their friend Samir to help them deliver the leaflets. The 3 friends each deliver an equal number of leaflets in an equal amount of time. (a) How long will it take Shanika, Atif and Samir to deliver the leaflets? Include units in your answer The money is shared equally between the 3 friends. (b) How much does each of them get paid? £ Question 3 (Calculator Level 2) Jason works at the local outdoor swimming pool. He needs to empty the pool ready for repairs. It took 7 hours and 36 minutes to empty the pool last year with three identical pumps. This year Jason is going to use four identical pumps to empty the pool. He will start emptying the pool at 9:30 am Jason thinks the pool will be empty by 3:15 pm. Is Jason correct? Question 4 (Non-Calculator Level 2) Mobeena runs a business. She has three projects to complete with her colleague. Here is a table showing how long it will take two of them to complete each project. | Project 1 | Project 2 | Project 3 | | --- | --- | --- | | 6.4 hours | 17 hours | 10.8 hours | Mobeena decides to hire a new employee to help them with the projects. How long will it take them all three of them to complete all the projects? Mark Scheme | Question | Process | Mark | Mark
Ref | Evidence | | --- | --- | --- | --- | --- | | Q1(a) | Process to work withinverse proportion
Accurate figure including units | 1 or
2 | A
B | 10.5 ÷ 3 (=3.5 hours)
10 hours 30 minutes ÷ 3 (= 3 hours 30 minutes) OR
630 minutes ÷ 3 (=210 minutes)
3.5 hours OR 3 hours 30 minutes OR 210 minutes | | Q1(b) | Process to find total amount
Process to share money Accurate figure | 1 or
2 or
3 | B
BC
BCD | 2500 ÷ 1000 (=2.5) AND 2.5 x 60 (=150) oe
‘150’ ÷ 3 (=50)
£50 | | Total marks for question | | 5 | | | | Question | Process | Mark | Mark
Ref | Evidence | | --- | --- | --- | --- | --- | | Q2(a) | Begins process to work with indirect proportion
Full process to work withindirect proportion
Accurate figure including units | 1 or
2 or
3 | A
AB
ABC | 8.25 x 2 (=16.5 hours) OR
8 hours 15 minutes x 2 (=16 hours 30 minutes) OR (8.25 x 60) x 2 (=990 minutes)
16.5 ÷ 3 (=5.5 hours)
16 hours 30 minutes ÷ 3 (= 5 hours 30 minutes) OR
990 minutes ÷ 3 (=330 minutes)
5.5 hours OR 5 hours 30 minutes OR 330 minutes | | Q2(b) | Process to find total amount
Process to share money Accurate figure | 1 or
2 or
3 | B
BC
BCD | 4000 ÷ 1000 (=4) AND 4 x 60 (=240) oe
‘240’ ÷ 3 (=80)
£80 | | Total marks for question | | 6 | | | | Question | Process | Mark | Mark
Ref | Evidence | | --- | --- | --- | --- | --- | | Q3 | Begins process to work with indirect proportion
Full process to work withindirect proportion
Process to find figures to compare
Valid decision with accurate figure | 1 or
2
1 or
2 | A
AB
C
CD | 7 hours 36 minutes x 3 (= 22 hours 48 minutes) OR
36 ÷ 60 = 0.6 and 7.6 hours x 3 (=22.8 hours) OR
420 + 36 (=456 minutes) and
456 x 3 (=1368 minutes)
’22 hours 48 minutes’ ÷ 4 (=5 hours 42 min

FAQs

How is the delivery time shared in Question 1?

Lisa, Tilly, and Kai each deliver an equal number of leaflets in an equal amount of time. Use the total number of leaflets and the per-1000 rate to find the individual time, then combine for the shared scenario.

In Question 2, what changes from the first week to the second week?

Shanika and Atif deliver 4000 leaflets in 8.25 hours together. In the next week, all three friends work with equal numbers delivered in equal time, so the total time changes based on indirect proportion.

How do you decide if Jason is correct in Question 3?

Calculate how long four identical pumps take to empty the pool using the previous year’s data (three pumps for 7 hours 36 minutes). Add this duration to the start time (9:30 am) and compare with the predicted finish time of 3:15 pm.

Oct 20, 2026

Uploaded by Theodore