Myra Takes 2 Hours To Plant 500 Flower Bulbs. Francis Takes 3 Hours To Plant 450 Flower Bulbs. Working Together, How Long Should It Take Them To Plant

Myra takes 2 hours to plant 500 flower bulbs. Francis takes 3 hours to plant 450 flower bulbs. Working together, how long should it take them to plant 1500 bulbs?

 

Answer:

3.75 or  3 ³/₄ hours

Step-by-step explanation:

Work rate:

Myra: 500 flowers per 2 hours

Francis: 450 flowers per 3 hours

Working together: 1,500/x  

Where x is the number of hours working together

Add:

500/2 + 450/3 = 1,500/x

250 + 150 = 1,500/x

400 = 1,500/x

(x) 400 = 1,500/x (x)  ⇒ Multiply each term by their LCD x

400x = 1,500

400x/400 = 1,500/400

x = 3.75 or  3 ³/₄ hours