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Step-5

Title: Ratio

Grade: 6-a Lesson: S3-L7

Explanation: Let us verify the answer here with the steps.

Lesson Steps Head1

Step	Type	Explanation	Answer
1	Problem	One chef can make three curries in 1 hour, while another can make four curries in 30 minutes. What is the ratio between their speeds?
2	Hint	The number of curries made by the first chef in 1 hour is 3 curries per hour.
3	Step	The number of curries made by the second chef in 30 minutes is 4.
4	Step	Convert 30 minutes to hours	\$(30 "minutes") / ((60 "minutes/"hour"")) = 0.5 "hours"\$
5	Step	The number of curries made by the second chef in 0.5 hours is	\$4/0.5\$
6	Step	On simplification we get 8
7	Step	So, the ratio of the speeds of the first chef to the second chef is 3 : 8
8		Answer	B

Step

Type

Explanation

Answer

Problem

One chef can make three curries in 1 hour, while another can make four curries in 30 minutes. What is the ratio between their speeds?

Hint

The number of curries made by the first chef in 1 hour is 3 curries per hour.

Step

The number of curries made by the second chef in 30 minutes is 4.

Step

Convert 30 minutes to hours

\$(30 "minutes") / ((60 "minutes/"hour"")) = 0.5 "hours"\$

Step

The number of curries made by the second chef in 0.5 hours is

\$4/0.5\$

Step

On simplification we get 8

Step

So, the ratio of the speeds of the first chef to the second chef is 3 : 8

Answer