Question 1167612: 1. A number is expressed by three digits which are arithmetically progression. If the number is
divided by the sum of the digits the quotient will be 26 and if 198 be added to the number, the
digits will be inverted. What is the number?
2. Two girls walk in a circular track. If they move in the same direction at constant speed, they
meet each other in 56 min. If they were moving with the same speed as before, but in opposite
directions, they would meet every 12 min. and 46 sec. Also, in moving in opposite direction, the
approaching distance between the two girls decreases from 200 meters to 29 meters in 3 min.
Find (a) the circumference of the track and (b) the walking speed of each girl.
3. A jewelry craftsman needs 100 grams of alloy of 70% pure gold for his products. Only two alloys
of golds are available from Davao supplier, the first being 80% pure gold and the other 60% pure
gold. How many grams of each gold alloy must he buy to suit his requirements?
4. Worker A can do a piece of work in 2/3 as many as days as worker B, and worker B can do the
same work in 4/5 as many days as worker C. Together they can do the work in 3 7/11 days. In
how many days workers A, B and C can finish the work if they work alone?
5. Maria is 36 years old. Maria was twice as old as Anna was when Maria was as old as Anna is
now. How old is Anna now?
6. It is now between 9 and 10 o’clock. In 4 minutes, the hour hand of a clock will be directly
opposite the position occupied by the minute hand of 3 minutes ago. What time is it?
7. A man invested P25,000.00 in two business ventures one earning 6% and the other 8% at the
end of the year. If his profit amounted to P1,900.00, how much did he invest at each rate?
Answer by ikleyn(52794)   (Show Source):
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