Math Problem Statement

just answer

Coco buys and downloads a film from the internet. The film is 1680 MB in size. Coco's internet download speed is 1.4 MB per second. If she starts the download at 13:00, at what time will the download finish? Megan's standard pay is £17.70 per hour. She gets paid 1.5 times this rate for working overtime. How much will Megan get paid for working 11 hours of overtime? Give your answer to the nearest pound.

Solution

First Question:

To determine the time it will take for Coco's download to finish, we use the formula:

Time=File SizeDownload Speed\text{Time} = \frac{\text{File Size}}{\text{Download Speed}}

Given:

  • File Size = 1680 MB
  • Download Speed = 1.4 MB/s

Time=16801.4=1200 seconds\text{Time} = \frac{1680}{1.4} = 1200 \text{ seconds}

Converting 1200 seconds to minutes: 1200÷60=20 minutes1200 \div 60 = 20 \text{ minutes}

Since Coco starts the download at 13:00, the download will finish at: 13:00+20 minutes=13:2013:00 + 20 \text{ minutes} = 13:20

Answer: The download will finish at 13:20.

Second Question:

To calculate Megan's pay for working overtime, we first find her overtime pay rate.

Given:

  • Standard pay rate = £17.70 per hour
  • Overtime multiplier = 1.5
  • Overtime hours = 11

Overtime pay rate: 17.70×1.5=26.55 per hour17.70 \times 1.5 = 26.55 \text{ per hour}

Total pay for 11 hours of overtime: 26.55×11=292.0526.55 \times 11 = 292.05

Rounding to the nearest pound, Megan will get: £292\text{£292}

Answer: Megan will be paid £292 for working 11 hours of overtime.

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Math Problem Analysis

Mathematical Concepts

Rate and Time Calculation
Basic Arithmetic
Multiplication
Unit Conversion

Formulas

Time = File Size / Download Speed
Overtime Pay = Standard Rate × Overtime Multiplier

Theorems

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Suitable Grade Level

Grades 6-8